Dr. Avner Segal
I am a lecturer at the Mathematics Department of SCE
My main research interests are automorphic representations and the representation theory of p-adic group and Lie groups
I have recieved my Ph.D. from Ben-Gurion University of the Negev under the supervision of Prof. Nadya Gurevich
I was also a postdoctoral fellow at the University of British Columbia, Tel Aviv University and Bar-Ilan University
Profile
Be'er Sheva
106 Einstein(40)
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Education
2011-2016 Ph.D. in Mathematics, Ben Gurion University of the Negev. Dissertation title: A Family of New-way Integrals for the Standard L-function of Cuspidal Representations of the Exceptional Group of Type G2 and Their Poles.
2009-2011 M.Sc. (Summa cum Laude) in Mathematics, Ben Gurion University of the Negev. Dissertation title: Towards a New Integral Representation With No Unique Model of the Standard L-function of a Cuspidal Automorphic Representation of G2.
2006-2009 B.Sc. (Summa cum Laude) in Mathematics, Ben Gurion University of the Negev.
2006-2010 B.Sc. in Physics, Ben Gurion University of the Negev.
Research
Automorphic forms, automorphic L-functions, Rankin-Selberg integrals, new way integrals, Langlands program, representations of p-adic and Lie groups, computational representation theory.
Publications
1. N. Gurevich, A. Segal. Rankin-Selberg Integral with Non-Unique Model For the Standard L-function of G2. Journal of the Institute of Mathematics of Jussieu 2015; 14(1); 149-184.
2. A. Segal. A Family of New-way Integrals for the Standard L-function of Cuspidal Representations of the Exceptional Group of Type G2. International Mathematics Research Notices. 2017; 7; 2014-2099.
3. A. Segal. The Degenerate Eisenstein Series Attached to the Heisenberg Parabolic Subgroups of Quasi-Split Forms of D4. Transactions of the American Mathematical Society. 2018; 370; 5983-6039.
4. N. Gurevich, A. Segal. Poles of the Standard L-function of G2 and the Rallis-Schiffmann Lift. 2019; 71(5); 1127-1161.
5. A. Segal. The Degenerate Residual Spectrum of Quasi-Split Forms of Spin8 Associated to the Heisenberg Parabolic Subgroup. Transactions of the American Mathematical Society. 2019; 372; 6703-6754.
6. T. Nam, A. Segal, L. Silberman. Singularities of Intertwining Operators and Decompositions of Principal Series Representations. 2020; 30(4); 939-964.
7. H. Halawi, A. Segal. The Degenerate Principal Series Representations of Exceptional Groups of Type E6 over p-adic Fields. To appear in the Israel Journal of Mathematics.
8. H. Halawi, A. Segal. The Degenerate Principal Series Representations of Exceptional Groups of Type E7 over p-adic Fields. To appear in the Pacific Journal of Mathematics.
Courses
Complex Variables, Calculus, Ordinary Differential Equations, Calculus I.